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Maxima 5.29.1
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using Lisp SBCL 1.1.2-1.fc18
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using Lisp SBCL 1.1.2-1.fc18
Distributed">
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Maxima 5.29.1 http://maxima.sourceforge.net
using Lisp SBCL 1.1.2-1.fc18
Distributed">
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      maxima tutorial
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        <ol>
<li><em>安装</em> <code>yum install maxima</code></li>
<li><em>运行</em> <code>maxima</code></li>
<li><p><em>例子</em>  </p>
<pre><code>[root@localhost ~]# maxima --version
Maxima 5.29.1
[root@localhost ~]# maxima
Maxima 5.29.1 http://maxima.sourceforge.net
using Lisp SBCL 1.1.2-1.fc18
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) 2+3;
(%o1)                                  5
(%i2) 1/3;
                                       1
(%o2)                                  -
                                       3
(%i3) float(1/3);
(%o3)                          .3333333333333333
(%i4) sum(i^2, i, 1, 3);
(%o4)                                 14
(%i5) ? if

 -- Special operator: if
     Represents conditional evaluation.  Various forms of `if&apos;
     expressions are recognized.

     `if &lt;cond_1&gt; then &lt;expr_1&gt; else &lt;expr_0&gt;&apos; evaluates to &lt;expr_1&gt; if
     &lt;cond_1&gt; evaluates to `true&apos;, otherwise the expression evaluates
     to &lt;expr_0&gt;.

     The command `if &lt;cond_1&gt; then &lt;expr_1&gt; elseif &lt;cond_2&gt; then
     &lt;expr_2&gt; elseif ... else &lt;expr_0&gt;&apos; evaluates to &lt;expr_k&gt; if
     &lt;cond_k&gt; is `true&apos; and all preceding conditions are `false&apos;.  If
     none of the conditions are `true&apos;, the expression evaluates to
     `expr_0&apos;.

     A trailing `else false&apos; is assumed if `else&apos; is missing.  That is,
     the command `if &lt;cond_1&gt; then &lt;expr_1&gt;&apos; is equivalent to `if
     &lt;cond_1&gt; then &lt;expr_1&gt; else false&apos;, and the command `if &lt;cond_1&gt;
     then &lt;expr_1&gt; elseif ... elseif &lt;cond_n&gt; then &lt;expr_n&gt;&apos; is
     equivalent to `if &lt;cond_1&gt; then &lt;expr_1&gt; elseif ... elseif
     &lt;cond_n&gt; then &lt;expr_n&gt; else false&apos;.

    git/ The alternatives &lt;expr_0&gt;, ..., &lt;expr_n&gt; may be any Maxima
     expressions, including nested `if&apos; expressions.  The alternatives
     are neither simplified nor evaluated unless the corresponding
     condition is `true&apos;.

     The conditions &lt;cond_1&gt;, ..., &lt;cond_git/n&gt; are expressions which
     potentially or actually evaluate to `true&apos; or `false&apos;.  When a
     condition does not actually evaluate to `true&apos; or `false&apos;, the
     behavior of `if&apos; is governed by the global flag `prederror&apos;.  When
     `prederror&apos; is `true&apos;, it is an error if any evaluated condition
     does not evaluate to `true&apos; or `false&apos;.  Otherwise, conditions
     which do not evaluate to `true&apos; or `false&apos; are accepted, and the
     result is a conditional expression.

     Among other elements, conditions may comprise relational and
     logical operators as follows.

          Operation            Symbol      Type

          less than            &lt;           relational infix
          less than            &lt;=
            or equal to                    relational infix
          equality (syntactic) =           relational infix
          negation of =        #           relational infix
          equality (value)     equal       relational function
          negation of equal    notequal    relational function
          greater than         &gt;=
            or equal to                    relational infix
          greater than         &gt;           relational infix
          and                  and         logical infix
          or                   or          logical infix
          not                  not         logical prefix
</code></pre></li>
</ol>
<pre><code>  There are also some inexact matches for `if&apos;.
  Try `?? if&apos; to see them.git/

(%o5)                                true
(%i6) 
(%i6) quit ();
[root@localhost ~]# 
</code></pre><ol>
<li><p><em>画图</em>  </p>
<p> <code>plot2d(x^3+2*x^2-3,[x,-2,2]);</code></p>
<p> <img src="/assets/image/posts/maxima-plot2d.png" alt="plot2d"></p>
<p> <code>plot3d(sin(x)*cos(y),[x,-2,2],[y,-2,2]);</code></p>
<p> <img src="/assets/image/posts/maxima-plot3d.png" alt="plot3d"></p>
</li>
<li><p><em>编程</em><br> 创建一个后缀为max(可以是任何后缀)的文件,如test.max,编辑代码后保存.<br> 在maxima环境中执行<code>batch(&quot;test.max&quot;)</code></p>
<p> test.max</p>
<pre><code>a:2;
b:5;
a^3+b^2;
</code></pre><p> 执行效果</p>
<pre><code>(%i3) batch(&quot;test.max&quot;);

read and interpret file: /root/prj/git/euler/maxima/test.max
(%i4)                                a : 2
(%o4)                                  2
(%i5)                                b : 5
(%o5)                                  5
                                    2    3
(%i6)                               b  + a
(%o6)                                 33
(%o6)                 /root/prj/git/euler/maxima/test.max
</code></pre><p> 关于batch的更多用法，请查阅帮助手册中的章节<code>13.3 Functions and Variables for File Input and Output</code></p>
</li>
<li><p><em>其他范例</em><br> <a href="http://projecteuler.net/problem=1" target="_blank" rel="external">Project Euler第1题</a>  </p>
<pre><code>sum(if (mod(i, 3) = 0) or (mod(i, 5) = 0) then i else 0, i, 1, 999)
</code></pre><p> <a href="http://projecteuler.net/problem=1" target="_blank" rel="external">Project Euler第2题</a><br> euler2.max</p>
<pre><code>s:0$
for i:3 while fib(i)&lt;=4*10^6 do (s:s+fib(i), i:i+2)$
display(s);
</code></pre><p> 执行效果</p>
<pre><code>(%i164) batch(&quot;euler2.max&quot;);

read and interpret file: /root/prj/euler/maxima/euler2.max
(%i165)                              s : 0
                                         6
(%i166) for i from 3 while fib(i) &lt;= 4 10  do (s : fib(i) + s, i : 2 + i)
(%i167)                           display(s)
                                  s = 4613732

(%o167)                              done
(%o167)              /root/prj/euler/maxima/euler2.max    
</code></pre></li>
<li><p><em>相关语法说明</em><br> <code>;</code> 代码结束符<br> <code>$</code> 多行代码<br> <code>,</code> 多个语句使用<code>(sentence1, sentence2)</code>  </p>
</li>
<li><p><em>帮助手册</em><br> 浏览器查看文件<code>/usr/share/maxima/5.29.1/doc/html/maxima.html</code></p>
</li>
</ol>
<p>相关教程资源:  </p>
<ul>
<li><a href="http://maxima.sourceforge.net/docs/manual/en/maxima.html" target="_blank" rel="external">Maxima 5.28.0 Manual</a></li>
<li><a href="http://www.matrix67.com/blog/archives/337" target="_blank" rel="external">Linux下的数学工具Maxima 简明教程 上</a></li>
<li><a href="http://www.matrix67.com/blog/archives/338" target="_blank" rel="external">Linux下的数学工具Maxima 简明教程 下</a></li>
<li><a href="http://maxima.sourceforge.net/docs/tutorial/en/gaertner-tutorial-revision/Contents.htm" target="_blank" rel="external">The Computer Algebra Program Maxima - a Tutorial</a></li>
<li><a href="http://tranzing.blogspot.com/2005/01/maxima.html" target="_blank" rel="external">maxima 笔记</a></li>
<li><a href="http://andrejv.wordpress.com/category/maxima/" target="_blank" rel="external">andrejv’s blog</a></li>
<li><a href="http://inside.mines.edu/fs_home/whereman/software.html" target="_blank" rel="external">一些代码</a></li>
<li><a href="http://inside.mines.edu/fs_home/whereman/software/painleve/macsyma/single/np_sing.max" target="_blank" rel="external">一些代码</a></li>
<li><a href="http://math-blog.com/2007/06/04/a-10-minute-tutorial-for-solving-math-problems-with-maxima/" target="_blank" rel="external">A 10 minute tutorial for solving math problems with maxima</a></li>
<li><a href="https://webfiles.uci.edu/huanm/www/maxima/maxima_zh.pdf" target="_blank" rel="external">Maxima快速参考手册</a></li>
</ul>

      
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